8. An astronaut on the Moon throws a baseball upward with an initial velocity of 10 meters per second, letting go of the baseball 2 meters above the ground. The equation of the baseball pathway can be modeled by h = -0.82 + 101 + 2. The same experiment is done on Earth, in which the pathway is modeled by equation h = -4.9+10t+2. How much longer would the ball stay in the air on the Moon compared to on Earth? 8. Gina Wis

8. An astronaut on the Moon throws a baseball upward with an initial velocity of 10 meters per second, letting go of the baseball 2 meters above the ground. The equation of the baseball pathway can be modeled by h = -0.82 + 101 + 2. The same experiment is done on Earth, in which the pathway is modeled by equation h = -4.9+10t+2. How much longer would the ball stay in the air on the Moon compared to on Earth? 8. Gina Wis

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter10: Quadratic Equations

Section10.4: Solve Applications Modeled By Quadratic Equations

Problem 159E: A bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial...

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A bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the formula h=16t2+v0t+8 to determine how many seconds it will take for the bullet to hit the ground. (That is, when will h=0 ?)
Write a uniform motion problem similar to Example 5.42 that relates to where you live with your friends or family members. Then translate to a system of equations and solve it.
For exercises 17 and 18, use this scenario: A retired woman has $50,000 to invest but needs to make $6,000 a yearfrom the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it shewants to put in a CD that pays 7%. 17. If we let xbe the amount the woman invests in the 15% bond, how much will she be able to invest in the CD?
For exercises 17 and 18, use this scenario: A retired woman has $50,000 to invest but needs to make $6,000 a yearfrom the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it shewants to put in a CD that pays 7%. 18. Set up and solve the equation for how much the woman should invest in each option to sustain a $6,000 annual return.